I want to work through category theory for the working mathematician by Mac Lane and the followup book Sheaves in Geometry and Logic by Mac Lane. I have a PhD in pure math but I'm somewhat slow and not the brightest. I was looking for someone who would be interested in working through these books with me or someone who already knows the subjects and would be able to check my answers to the solutions. I intend to try to solve every exercise.About me: I'm very friendly and silly and like anime
>>16905199>MUH AIkys
>>16904996Type theory or topos theory?I've gone through a decent chunk of MacLane's book on topoi, and have probably seen more or less everything in his category theory book at some point or another, so I'm happy to check your answers to exercises, or discuss any questions. I'll say that you shouldn't probably aim to go through every exercise unless you were trying to get a migraine. At a certain point, it'll get very tedious. Moreover, it is very difficult to learn category unless you have some kind of motivation; it is very dry on its own. That said, one person who manages to make it rather interesting as a standalone subject is Richard Southwell, whose youtube channel is a goldmine.
>>16905031Do you know or apply spaced repetition, active recall reading? I'm also like you (and I'm still working on it) but what I realise is that experts constantly (usually in their head) are always working examples of what they learnt even as their reading it and constantly after, which helps with memory. They also have a clear structure of concepts
>>16905199Measure theory/probability >>16905249Topos theory. Thanks! I'll definitely check out Southwell on yt! Add me on discord: urist1334I'm doing this because I want to go into research in category theory>>16905292I remember stuff temporarily, but I forget the theorems/math I learned a year ago unless I'm super actively using it.
>>16905306I don't have discord.
How screwed am I if I score>very low extraversion>high neuroticism>moderate high openness>moderate agreeableness>moderate conscientiousnesson the Big 5? Also post Big 5 or other personality inventory results itt
>>16905317Ooooh. Bummer.
Date Scorpio
Lmao same results here. Life has been a challenge. Working hard on keeping that neuroticism in check with CBT and meditation. Also getting out and socializing is a must
This shit used to be free
>>16904888I like how you think the only documents that exist are physics papers and math papers. And that no one ever writes a paper and then puts it in LaTeX near the end. Myopic and brain damaged.
>>16895059?
>>16904888they're better at carrying malicious payloads, as users of this website can attest
just pirate Word 2019 broKMS pico exists, bro
>>16895059it still is: https://massgrave.dev/just run [code]irm https://get.activated.win | iex[/code] on Windows and install the activator>>16904972>he uses .doc files in 2026>>16904977anon, you can even share your CV as a PDF, and your fucking browser will be able to read it.>>16905022as if office documents weren't as risky if not more
what are some of your favorite breakthroughs in technological or biological history? this guy Max Bennett is saying there were five evolutionary breakthroughs that ultimately led up to the human brain, and I'm curious to see what he has to say about the incredible difference in intelligence between rats and mice: rats are basically like small dogs, mice are more like mammalian bugs.rats have a huge hippocampus so that may be one of his breakthroughs, but I haven't yet read thoroughly enough to say.
>technological historyThe transistor.
>>16903660Neurons create noise whenever they fire, so it's very difficult to generate clear output if billions of them are firing and interfering with one another. Homogenization of signals solves this problem, sort of.
"Theory of mind" is only a theory
>>16903556computers and electronics/digital devices in general?also, remote comms using electromagnetics, starting with radios. these days we can talk to people in other countries almost instantaneously.
Induction motorTransistorRadio communication
theres giant black holes eating fucking galaxies out there and im chillin gooning to gay furry hentai while smoking weed thats crazy to think about
who is the best sci-tuber?
>>16903163>Watch MIT lecturesUniversity lectures are useless, they don't even cover all the topics on the test, do it only at a base level and the example problem is only the most simplified case.The only teaching is at the TA study hall, if it is even offered.
>>16903352sounds like you want to shitty diploma mill, all of my physics courses were very much in depth
>>16903352Can I go to TA study hall on youtube, retard?
>>16902405I don't watch anything but research talks on YouTube anymore but I used to like Applied Science a lot, he made a video where he freeze-dries his own poop to determine its caloric content which was pretty cool
>>16902405>who is the best sci-tuber?Godier isn't a sci-tuber. He's a sci-fiction tuber. He leaps to the assumption that anything and everything is aliens because he wants to believe so bad, and I get it and that's fine, but its not science. Still, his channel isn't too bad.Here are a couple other suggestions:https://www.youtube.com/@isaacarthurSFIAhttps://www.youtube.com/@whatdamath
Hurewicz space editionITT: discuss mathematicsPrevious: >>16876118
>>16901377Input without braces and most commas:(y – x)^2 + x^2 – r^2 = 0(y – 0)/(x – r) = D[(y – x)^2 + x^2 – r^2, y]/D[(y – x)^2 + x^2 – r^2, x]d = Sqrt[(x – r)^2 + (y – 0)^2]r = 1Solution 2 of 4 without commas:d ≈ 0.2640391889203771424r = 1x ≈ 0.76019682008823566578y ≈ 0.1105039736386732746URL:https://www.wolframalpha.com/input?i=%7B%28y+-+x%29%5E2+%2B+x%5E2+-+r%5E2+%3D%3D+0%2C+%28y+-+0%29%2F%28x+-+r%29+%3D%3D+D%5B%28y+-+x%29%5E2+%2B+x%5E2+-+r%5E2%2C+y%5D%2FD%5B%28y+-+x%29%5E2+%2B+x%5E2+-+r%5E2%2C+x%5D%2C+d+%3D%3D+Sqrt%5B%28x+-+r%29%5E2+%2B+%28y+-+0%29%5E2%5D%2C+r+%3D%3D+1%7D
What is the maximum area of a rectangle which exists inside of a regular heptagon of unit area?
>>16905156semi-half assed math gave me that given a unit side, the area would be (csc^2((3 π)/14) (4 + csc(π/14) (4 + csc((3 π)/14)))^2 tan(π/7))/(16 (8 + 8 cot(π/7) cot((3 π)/14))) = 2.28719.So divide that by the polygon formula for 7
>>16898099>>16900751>>16901197Are you still around? What do you think of this exposition? Maybe the references can help you>Complex analysis: a brief tour into higher dimensions. R. Michael Range. Am. Math. Mon. 110, No. 2, 89-108 (2003).
>>16905100A = (x, y)B = (r, 0)> (y – x)^2 + x^2 – r^2 = 0orbit of A> (y – 0)/(x – r) = D[(y – x)^2 + x^2 – r^2, y]/D[(y – x)^2 + x^2 – r^2, x]slope of line AB = slope of line perpendicular to orbit> d = Sqrt[(x – r)^2 + (y – 0)^2]distance between A and B> r = 1given radius> d ≈ 0.264039188920377142415/2*d^2 = 19 – 4*√34*Cos[(a – π)/3]a = ArcCos[2461/(1088*√34)]
What is your opinion on solar energy?
>>16904947You sound like a bot. Oil wasn't mentioned try your prompt again
>>16904938>That graph would almost be believable if it didn't have onshore wind > offshore wind.Like the entire difference is concrete. Presumably because offshore windmills float and therefore don't require a fuckhuge concrete foundation.
>>16904932>He's even pretending to be a dismissive smug schizo with the whole Sun god act.Multiple people were replying to the AI spammer. I'm not the one that did the sun god bit.I'm just>>16904771>>16904748>>16904734>>16904817>>16904877
>>16902156solar/wind + batteries is the future, as long as the PV panels and the batteries stay cheap enough (or become more efficient, or easier to produce..).>>16902196anon... do you know how efficient nuclear reactors are? they boil water to move a fucking turbine. and if there was a way to extract 100% of the energy from directly nuclear reactions, the same tech would be used to get energy from the sun and we wouldn't need nuclear reactors at all.
>>16904860either badly done cabling or (most likely) bad inverters. there have been a few cases of known bad inverters>>16903696>>16903758you can buy cheap batteries today, retards. go check on aliexpress.
the first journey to the moon since the apollo missions is happening in half a month. it won't land on the moon, but it will go extremely near it, only kilometers away its surface. also, this mission is artemis ii, they plan to land on the moon with artemis iii, so after this mission is over, landing on the moon is the next one
>>16899581settle down, we all know they die during mission return so that the faked footage can stand as immortal proof of a landing. We can all rest easy then knowing the first moon landing definitely happened and also the holocaust.
how do you redditards still trust NASA when "project anchor" is a thing?
>>16894497>Things that never happenedConsult my comment post-factum the launch date where nothing happens.
>>16899203Faking the moon landings again isn't interesting like it was for Boomers, especially because it's just an excuse to insert women and minorities into any space a White man ever (allegedly) occupied. Unfortunately Netflixing the Apollo missions simply won't work, so they need to create a whole new production and then piss and moan and try and shame people for not watching it like they do any original media product they make that invariably bombs.
>>16899203It isn't worrying. It merely confirms that the public are cattle that only care about monkey crap like celebrity drama and stuffing their fat faces. Anything that is done simply to prove humanity's power and reach is something they can't understand, because cattle are naturally utilitarians and can't accept anything that doesn't involve shovelling food or drugs into poor people. China will beat us in colonizing space because they have engineers in government running things instead of a democracy filled with lawyers.
In US states, IQ of states is the strongest predictor of violent crime. IQ can explain 47.7% of variance in crime among 48 states. State IQ was also positively correlated with the white population, and negatively correlated with a black and hispanic population. https://link.springer.com/article/10.1007/s44202-024-00319-yWhat can be done with this information?
>>16898197>In US states, IQ of states is the strongest predictor of violent crime.Of recorded violent crime. Have you stopped for a moment to consider that individuals with higher IQ would be more capable of recognizing patterns that allow for commiting violent crime without detection? Or are we going to pretend smart people totally aren't better at doing crime, they just don't do it?
>>16904078that's possible. but also a lot of intelligent people would see it as pointless to go to jail over something stupid
>>16904078Obviously criminals of the Jewish type are found on Wallstreet. We are talking about violent street thugs.
Why do 50iq Pygmies act less insane and disgusting than 70iq Indians? You don’t see Pygmies coating their meat in literal COW POOP. At best they bury their meat in scalding hot sand. What HAPPENED to India?
>>16898201Isn't it funny that ashkenazi has the words ash and nazi within it simultaneously. God has a sense of humor.
This is Paracelsus, a hermetic alchemist, or proto chemist; also the greatest natural physician of his day, and a father of mineral medicinals. He believed he could produce a slave creation, or a familiar of sorts—the Homunculus—by ejaculating into a chicken egg, or worse.— ‘That the sperm of a man be putrefied by itself in a sealed cucurbit for forty days with the highest degree of putrefaction in a horse's womb ["venter equinus", meaning "warm, fermenting horse dung"], or at least so long that it comes to life and moves itself, and stirs, which is easily observed. After this time, it will look somewhat like a man, but transparent, without a body. If, after this, it be fed wisely with the Arcanum of human blood, and be nourished for up to forty weeks, and be kept in the even heat of the horse's womb, a living human child grows therefrom, with all its members like another child, which is born of a woman, but much smaller.’ 328–329The original coomer, if you will.
>>16902740What stops Paracelsus from claiming my jizz just wasn't putrefied enough for the horse womb to do its magic?
Safe science is stifling science. True science is mad science.
>>16903370You’re not even wrong. The scientific community has become so infested with pussies it has become one big giant woman.
Newton quite seriously believed you could transmute elements to gold and that the elixir of life was a real thing.
imagine the progress if we'd traded the womb for a jar and just fermented our way to the moon, we were robbed
Cube TheoryAt the lowest Planck scale exists a Pi quantity of fundamental, foundational building blocks comprised of Red/Green/Blue Magnetized +/- [Cubes] traveling upon a 3D square grid track lattice layer ###Magnetism is the singular force of movement that exists in the universe, outside of the initial Big Bang separating forceAll forces of movement are simply emergent magnetism at higher Planck layers/levels once enough parts connect together to build up higher and establish more movement gimbals outside of the base foundational cardinal 3 dimensions the cubes move upon the track of forward/back, left/right, up/down. The weak/strong nuclear forces, gravitation, electricity, torque, heat, work of any kind are magnetism emergence once the track layers of complexity have built up for that movement direction of attraction/repulsion and how they all interact the repulsions/attractions while interacting together at the same time down through the layers to the magnetized RGB cubes themselves moving individually. We misunderstand the wavelengths of light to be the source of color, but the wavelengths themselves are comprised of smaller Red, Green, Blue building block cubes.Color is carried up through the ratio scales of Planck complexity so that everything in the universe has color and magnetism. We can think of color as being another foundational force aside from magnetism. What...you need more?
Big Boy
You and I are bound together on a journey that will twist the very fabric of natureSteel your mind Holmes...This force that will alter the very course of the world The source of the power lies...in the book of spells...We are Traveling [L][I][G][H][T]https://youtu.be/YA_PD3J8TEc?si=grOwFRpBSpGIz0Fat
Elon Musk just joined the fight against dying of old age. Is he going to accelerate progress or hinder it?Do you think he'll manage to create a cure that only works on whites, while letting other races die?
Well, gotta plap that incredibly tight loli anus for eternity after all
>>16897948Body parts "age" faster than others all the time, every time someone gets an age-related condition like macular degeneration, osteoporosis, dementia, grey hair in young age one part of their body has aged faster than the others.
>>16902908>should I buy a bottle of 20HE and just down it?Study literally says chronic doses are what in2 regenerate thymus.>>16902962All of the conditions you mentioned ack-shilly have small molecule supplements that prevent them fairly effectively.>t. prophylactically medicating specifically against all of the above with OTC shit
>>16902947on god frfr
>>16897948Musk is a retarded faggot.
>randomly fucks up your order>somehow makes it betterWhat's this retard's secret?
What is this geological feature? A quick google and search of wiki didn't bring anything up.I assume it's an old inactive rift zone, maybe the south and eastern edge of a failed microplate, but it looks more pronounced than the active rift boundary to the west and I've never heard of anything related to it (volcanoes, earthquakes, etc). It's too big and obvious to be an artifact of the mapping.
>>16905304https://en.wikipedia.org/wiki/Aegir_Ridge
>>16905312Thanks anon *blows a kiss* very yasashii of you.
